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2 years ago

8

Translate the following statement into an algebraic expression: Use x for your variable. The sum of the square of a number and e

leven times the number.

2 answers:

dusya [7]2 years ago

6 0

Step-by-step explanation:

Let x be the number.

Then the algebraic expression will be x^2 + 11x.

Setler79 [48]2 years ago

6 0

Hope this will help you

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32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

6 0

3 years ago

The price of a new car is $29990.if the sales tax rate is 6.5 percent,then how much sales tax is being charged? What is the tota

rusak2 [61]

The total sales tax being charged is: $1, 949. 35.
The total cost for the car including tax is: $31, 939. 35

Hope this helps! Let me know if you need help with anything else! :)

5 0

3 years ago

Read 2 more answers

The circumference of a circular stage is 157 feet. If Chris paints the stage at a rate of 400 square feet per hour, how long wou

Korolek [52]

We need the circumference and area of the circle equations:
c = 2*pi*r
a = pi*r^2
lets find the radius from the first equation:
r = c/2*pi
r = 157/(2*3.14)
r = 24.99 ft
now lets calculate the area:
a = pi*r^2
a = 3.14*(24.99)^2
a = 1960.93 ft^2
Now we need to divide the total area by the rate at which Chris paints, and that gives us the time needed:
time = <span>1960.93/400
time = 4.9 hours
that would be 5 hours rounded to the nearest hour</span>

8 0

2 years ago

5. Identify the slope and y-intercept of the line with the given equation.

xeze [42]

$
y=mx+b\\
m- \hbox{slope}\\
b- \hbox{y-intercept}\\\\
\underline{y=5x+2}\\
m=5\\
b=2\\\\
2x+y=-6\\
\underline{y=-2x-6}\\
m=-2\\
b=-6$

3 0

3 years ago

What is the slope of the function -3,-5

madam [21]

Answer:

y=-5x-3

Step-by-step explanation:

slope is y=mx+b

(y,x)

8 0

3 years ago